Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8169/566, 8041/3219 quickly i.e. 65686929 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8169/566, 8041/3219 is 65686929.
LCM(8169/566, 8041/3219) = 65686929
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8169/566,8041/3219
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 8169,8041
Least Common Multiple of Numerators i.e. LCM of 8169,8041 is 65686929.
GCF of Denominators means GCF of 566,3219 as per the given fractions.
GCF of 566,3219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8169,8041
Given numbers has no common factors except 1. So, there LCM is their product i.e 65686929
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 8169,8041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8169,8041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8169,8041) x common factors =1 x 1 = 1
LCM(8169,8041) = ( 8169 × 8041 ) / 1
LCM(8169,8041) = 65686929 / 1
LCM(8169,8041) = 65686929
Lets's calculate GCF of 566,3219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65686929/1
Therefore the LCM of Fractions 8169/566,8041/3219 is 65686929
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 3219
List of positive integer factors of 3219 that divides 3219 without a remainder.
1,3,29,37,87,111,1073,3219
Greatest Common Factor
We found the factors 566,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 566,3219 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 8169/566, 8041/3219?
Answer: LCM of Numerators as per given numbers 8169/566, 8041/3219 is
LCM of Numerators i.e. for 8169,8041 is 65686929
GCF of denominators i.e. for 566,3219 is 1.
Thus, LCM of Fractions is 65686929.Finally, LCM of Fractions for 8169/566, 8041/3219 is 65686929.